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Alona [7]
3 years ago
13

Solve each equation. 9) log 4 (-a - 1) = log 4 (2a + 5)

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

 

\displaystyle\bf\\9)\\\\log_4(-a-1)=log_4(2a+5)\\\\2a+5=-a-1\\\\2a+a=-1-5\\\\3a=-6\\\\a=\frac{-6}{3}\\\\\boxed{\bf~a=-2}\\\\Verify:\\\\log_4(-a-1)=log_4(-(-2)-1)=log_4(2-1)=log_4(1)=0\\\\log_4(2a+5)=log_4(2\times(-2)+5)=log_4(-4+5)=log_4(1)=0

 

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Two planes, which are 2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours
lora16 [44]

Answer:

325 mph and 420 mph

Step-by-step explanation:

If the speed of the slower plane is x, then the speed of the faster plane is x + 95.

The distance traveled by the slower plane is 3x.

The distance traveled by the faster plane is 3(x + 95).

The total distance is 2235 miles.

3x + 3(x + 95) = 2235

3x + 3x + 285 = 2235

6x = 1950

x = 325

x + 95 = 420

The speed of the planes is 325 mph and 420 mph.

5 0
3 years ago
What is the solution of the system? Use substitution.<br><br> y = 6x + 2<br> 3y - 18x = 12
kicyunya [14]
3(6x+2)-18x=12 (y=6x+2, so you plug in 6x+2 into the y in 3y-18x=12)
18x+6-18x=12    (Then you distribute the 3 to the 6x and to the 2)
6=12                    (Combine like terms 18x-18x)

There is no solution. Hope this helps and makes sense.


5 0
2 years ago
Read 2 more answers
The tempature was very cold,tgen it doubled,then it dropped 10 degrees,and then it increased by 40 degrees.The tempature is now
ycow [4]

Answer

The initial temperature was T = -7 degrees

Step-by-step explanation:

Let the initial temperature be T.

- The tempature was very cold

Temperarure = T

- Then it doubled

Temperature = 2T

- Then it dropped 10 degrees

Temperature = 2T - 10

- And then it increased by 40 degrees.

Temperature = 2T - 10 + 40 = 2T + 30

The tempature is now 16 degrees

Temperature = 16 degrees

2T + 30 = 16

2T = -14

T = -7 degrees

Hope this Helps!!!

4 0
3 years ago
Read 2 more answers
A shirt that normally costs 30 dollers s on sale for 21.75 what percent of the regular price is the sale price
ivanzaharov [21]
72.5%

You can get this by dividing the new price by the original price and then multiplying by 100. 
3 0
3 years ago
What is 2197 divided by 20? Now, what is the answer in a mixed number?
Anna007 [38]
109. 85 the mixed number 109 85/100
5 0
2 years ago
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